Dynamics of strongly coupled symmetric composite systems
Dynamics of strongly coupled symmetric composite systems
复制标题
强耦合对称复合系统动力学
DOI：
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发表时间：
1986
期刊：
影响因子：
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通讯作者：
J. Lunze
中科院分区：
文献类型：
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作者：
J. Lunze
摘要对由对称互联的相同子系统组成的动态系统进行了建模和分析。结果表明，在整个系统内的子系统的性能可以准确地描述的状态空间模型的顺序的两倍的孤立子系统的顺序。由于子系统性能的一致性，即使对于强相互作用也是如此。分散固定模的能控性、能观性和存在性可以通过低阶模型来检验。考虑具有渐近无穷多个子系统的系统，给出了子系统动力学和关联系统合作的充分必要条件。研究结果被用来研究对称电力系统的性能。
Abstract Dynamical systems composed of symmetrically interconnected identical subsystems are modelled and analysed. It is shown that the performance of the subsystems operating within the whole system can be exactly described by a state-space model of order twice the order of the isolated subsystem. Because of the conformity of the subsystem performance this is true even for strong interactions. The controllability, observability and existence of decentralized fixed modes can be tested by means of low-order models. Considering systems with an asymptotically infinite number of subsystems, necessary and sufficient conditions are derived on the subsystem dynamics and the interconnections for being cooperative. The results are utilized to study the performance of symmetric power systems.